Simulation of the Dynamics of Many-Body Quantum Spin Systems Using Phase-Space Techniques

Simulation of the Dynamics of Many-Body Quantum Spin Systems Using Phase-Space Techniques
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使用相空间技术模拟多体量子自旋系统的动力学

DOI:
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发表时间:
2013
期刊:
影响因子:
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通讯作者:
Erik S. Sørensen
Erik S. Sørensen
中科院分区:
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文献类型:
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作者:
Ray Ng;P. Deuar;Erik S. Sørensen

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We reformulate the full quantum dynamics of spin systems using a phase-space representation based on SU(2) coherent states which generates an exact mapping of the dynamics of any spin system onto a set of stochastic differential equations. This representation is superior in practice to an earlier phase-space approach based on Schwinger bosons, with the numerical effort scaling only linearly with system size. By also implementing extrapolation techniques from quasiclassical equations to the full quantum limit, we are able to extend useful simulation times severalfold. This approach is applicable in any dimension including cases where frustration is present in the spin system. The method is demonstrated by simulating quenches in the transverse-field Ising model in one and two dimensions.
DOI: 10.1103/physrevlett.98.210405
发表时间: 2007-05-25
影响因子: 8.6
作者:
Manmana, S. R.;Wessel, S.;Muramatsu, A.
通讯作者: Muramatsu, A.